topology
![Brian Piercy](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" fill="%230A66C2"><path d="M20.447 20.452H16.89v-5.569c0-1.328-.027-3.037-1.852-3.037-1.853 0-2.136 1.445-2.136 2.939v5.667H9.351V9h3.414v1.561h.046c.477-.9 1.637-1.85 3.37-1.85 3.601 0 4.267 2.37 4.267 5.455v6.286zM5.337 7.433a1.982 1.982 0 1 1 0-3.964 1.982 1.982 0 0 1 0 3.964zm1.782 13.019H3.555V9h3.564v11.452zM22.225 0H1.771C.792 0 0 .774 0 1.729v20.542C0 23.227.792 24 1.771 24h20.451C23.2 24 24 23.227 24 22.271V1.729C24 .774 23.2 0 22.222 0h.003z"/></svg>)
Learn how to measure network clustering and triadic closure in Python to identify tightly-knit groups and bridge nodes.
Learn the fundamentals of the burgeoning field of knot theory while solving some puzzles along the way
Mathematicians describe the most beautiful and beguiling forms and surfaces they know
After just a few months of work, a complete newcomer to the world of sphere packing has solved one of its biggest open problems.
Motivation • Dimensionality reduction is vital to the analysis of high dimensional data, i.e. data with many features. It allows for better understa…
This tutorial offers a bridge between the abstract mathematics of manifolds and computational practice.
A quantum approach to data analysis that relies on the study of shapes will likely remain an example of a quantum advantage — albeit for increasingly unlikely scenarios.
Interactive article explaining how curves and surfaces are modeled.
The relationships among the properties of flexible shapes have fascinated mathematicians for centuries.
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